Related: Gay marriage status in the US
The state House of Representatives heard 56 hours of public testimony over five days last week. On Friday night, the House passed the marriage bill by a 30-19 vote.
The state Senate, which passed its version of the same-sex marriage bill by a 20-4 margin earlier this year, passed the House version when it met Tuesday. Abercrombie has said he will sign the bill.
The compromise bill allows same-sex couples to get marriage licenses as early as Dec. 2.
Republican state Rep. Bob McDermott said in a letter to Abercrombie on Friday he will file a request for a temporary restraining order if the bill passes, the Honolulu Star Advertiser reported Tuesday. A state judge has said he will hear the case if the bill passes.